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Finding the Fourth Proportional to 259.98, 390 and 115.74

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Solution

The fourth proportional to 259.98, 390 and 115.74 is: 173.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.98 : 390 = 115.74 : x
  2. Step 2: Convert to fraction form
    259.98/390 = 115.74/x
  3. Step 3: Cross multiply
    259.98x = 390 × 115.74
  4. Step 4: Simplify right side
    259.98x = 45,138.60
  5. Step 5: Solve for x
    x = 45,138.60/259.98
  6. Step 6: Final answer
    x = 173.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.